which irrational number can be added to $pi$ to get a sum that is rational?\n$\frac{1}{pi}$\n$-\frac{1}{pi}$\…

which irrational number can be added to $pi$ to get a sum that is rational?\n$\frac{1}{pi}$\n$-\frac{1}{pi}$\n$-pi$\n$pi$

which irrational number can be added to $pi$ to get a sum that is rational?\n$\frac{1}{pi}$\n$-\frac{1}{pi}$\n$-pi$\n$pi$

Answer

Explanation:

Step1: Recall the property of rational - irrational numbers

A rational number can be written as $\frac{p}{q}$ where $p,q\in\mathbb{Z}$ and $q\neq0$. Let the irrational number be $x$. We want $\pi + x=r$, where $r$ is rational. Solving for $x$, we get $x=r - \pi$.

Step2: Consider the options

If we take $x =-\pi$, then $\pi+( - \pi)=0$. Since $0=\frac{0}{1}$ is a rational number.

Answer:

C. $-\pi$